The following table shows a sample of room rates for a 100 room resort hotel in Nova Scotia for the time period Jan.1 to Dec. 2003. Note that 1/1-7/3 means January 1 to March 7 , 2003. 20038/331/31/61/72/99/102/1221/121/1Room Rates- 7/3- 30/3-31/S-30/6-1/9-8/10-1/12-20/12-31/12A Oceanfront1 double bedBA7512585100150958575125Oceanfront851359511016010595851352 double bedsOceanfront Efic.2 double bedsD 2 room suite3 double bedsE Occanfront Suite3 double bedsExtra Person10515511513018012511510515512017513015020014013012017514020015017522516515014020010510IMPORTANT: Please omit the dollar signs in all answers. Note: Suites have 3 beds.a. For the 9 time periods, what was the mean extra person rate?|b. (i) This hotel has 20 type A rooms, 15 type B, 30 type C, 25 type D and the remainder are type E. If the hotel was fully booked (with no extra people in any room) on Friday, Sept. 12th, 2003 then what was the mean revenue per room rounded to the nearest dollar? HINT: Use whole numbers.(i) What was the standard deviation of the room rates on Sept. 12 for this sample of the guest population?(Use 2 decimal places rounded )c. (i) On Sunday, September 20, 2003 during the Eastern Conference Quarterfinals of the Stanley Cup Playoff (Ottawa beat the Islanders 3-0) the only rooms ocupied were 20 Type A, 15 Type B, and 7 Type E. What was the average revenue "per bed" on September 20?(Round to the nearest dollar. )|(ii)What was the standard deviation of the the price per bed on September 20?(Note: use 2 decimal place rounded here.)

Here, we are provided a data regarding the room rates of a certain resort hotel in a certain region…

Answered: IMPORTANT: Please omit the dollar signs…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter2: Linear Equations

Section: Chapter Questions

Problem 8SGR

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The following table shows a sample of room rates for a 100 room resort hotel in Nova Scotia for the time period Jan.1 to Dec. 2003. Note that 1/1-7/3 means January 1 to March 7 , 2003.

2003
8/3
31/3
1/6
1/7
2/9
9/10
2/12
21/12
1/1
Room Rates
- 7/3
- 30/3-31/S
-30/6
-1/9
-8/10
-1/12
-20/12
-31/12
A Oceanfront
1 double bed
B
A
75
125
85
100
150
95
85
75
125
Oceanfront
85
135
95
110
160
105
95
85
135
2 double beds
Oceanfront Efic.
2 double beds
D 2 room suite
3 double beds
E Occanfront Suite
3 double beds
Extra Person
105
155
115
130
180
125
115
105
155
120
175
130
150
200
140
130
120
175
140
200
150
175
225
165
150
140
200
10
5
10
IMPORTANT: Please omit the dollar signs in all answers. Note: Suites have 3 beds.
a. For the 9 time periods, what was the mean extra person rate?|
b. (i) This hotel has 20 type A rooms, 15 type B, 30 type C, 25 type D and the remainder are type E. If the hotel was fully booked (with no extra people in any room) on Friday, Sept. 12th, 2003 then what was the mean revenue per room rounded to the nearest dollar? HINT: Use whole numbers.
(i) What was the standard deviation of the room rates on Sept. 12 for this sample of the guest population?
(Use 2 decimal places rounded )
c. (i) On Sunday, September 20, 2003 during the Eastern Conference Quarterfinals of the Stanley Cup Playoff (Ottawa beat the Islanders 3-0) the only rooms ocupied were 20 Type A, 15 Type B, and 7 Type E. What was the average revenue "per bed" on September 20?
(Round to the nearest dollar. )|
(ii)What was the standard deviation of the the price per bed on September 20?
(Note: use 2 decimal place rounded here.)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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